document.write( "Question 154955: The supplement of a angle is 4 more than 2 times it's complement. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #114103 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The supplement of a angle is 4 more than 2 times it's complement. Find the measure of the angle. \n" ); document.write( ": \n" ); document.write( "Let x = the angle \n" ); document.write( ": \n" ); document.write( "(180-x) = it's supplement \n" ); document.write( "and \n" ); document.write( "(90-x) = it's complement \n" ); document.write( ": \n" ); document.write( "the equation of the given statement: \n" ); document.write( "(180-x) = 2(90-x) + 4 \n" ); document.write( ": \n" ); document.write( "180 - x = 180 - 2x + 4 \n" ); document.write( ": \n" ); document.write( "-x + 2x = 180 - 180 + 4 \n" ); document.write( ": \n" ); document.write( "x = 4 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in original statement: \n" ); document.write( "(180-4) = 2(90-4) + 4 \n" ); document.write( "176 = 2(86) + 4 \n" ); document.write( "176 = 172 + 4; confirms the solution of x=4 \n" ); document.write( " \n" ); document.write( " |